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Finding the Fourth Proportional to 804.25, 1,109.87 and 436.25

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Solution

The fourth proportional to 804.25, 1,109.87 and 436.25 is: 602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.25 : 1,109.87 = 436.25 : x
  2. Step 2: Convert to fraction form
    804.25/1,109.87 = 436.25/x
  3. Step 3: Cross multiply
    804.25x = 1,109.87 × 436.25
  4. Step 4: Simplify right side
    804.25x = 484,178.61
  5. Step 5: Solve for x
    x = 484,178.61/804.25
  6. Step 6: Final answer
    x = 602.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.